Analyze the function q(x)=(5x-10)/(x^2-5x+6) a. the domain {x I x is not equal to 3 b. Equation of the vertical asymptote(s) x=2 c. Horizontal asymptote if any y= -5/3 I included my answer so hopefully my answer is correct! |
Note that this function is q(x)=(5(x-2))/((x-2)(x-3)) which is like q(x)=5/(x-3) except q(x)=(5(x-2))/((x-2)(x-3)) also has excluded value 2 a. the domain { x | x \neq 3 and x \neq 2 } b. vertical asymptote: x=3 c. horizontal asymptote: y=0 You can see a graph here, except the graph doesn't do a good job of showing an excluded value at x=2 |